Question

In the given figure seg AB ≅ seg AD, seg BC ≅ seg BD, ∠ BAD = 70° ,∠ BCD = 80°, find the value of x , y, z, and p.​

Answer 1

Answer:

In ∆" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: 400; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: rgb(0, 0, 0); font-family: Arial, sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;">Δ∆ABC,

∠ACD = ∠A + ∠B   (Exterior angle property)

= 70∘ + 40∘          

= 110∘

Hence, the measure of  ∠" role="presentation" style="box-sizing: border-box; display: inline; font-style: normal; font-weight: 400; line-height: normal; font-size: 15px; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: 0px; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; color: rgb(0, 0, 0); font-family: Arial, sans-serif; font-variant-ligatures: normal; font-variant-caps: normal; orphans: 2; widows: 2; -webkit-text-stroke-width: 0px; text-decoration-thickness: initial; text-decoration-style: initial; text-decoration-color: initial; position: relative;">∠∠ACD is 110∘.